{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 262,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.7/site-packages/qiskit/providers/ibmq/ibmqfactory.py:192: UserWarning: Timestamps in IBMQ backend properties, jobs, and job results are all now in local time instead of UTC.\n",
      "  warnings.warn('Timestamps in IBMQ backend properties, jobs, and job results '\n",
      "ibmqfactory.load_account:WARNING:2020-09-11 01:04:59,708: Credentials are already in use. The existing account in the session will be replaced.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "# Importing standard Qiskit libraries and configuring account\n",
    "from qiskit import QuantumCircuit, execute, Aer, IBMQ\n",
    "from qiskit.compiler import transpile, assemble\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "# Loading your IBM Q account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 4 - "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 265,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 265,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.visualization import  plot_bloch_multivector\n",
    "qc = QuantumCircuit(1)\n",
    "\n",
    "# execute the quantum circuit \n",
    "backend = Aer.get_backend('statevector_simulator') \n",
    "result = execute(qc, backend).result()\n",
    "stateVectorResult = result.get_statevector(qc)\n",
    "\n",
    "#Display the Bloch sphere\n",
    "plot_bloch_multivector(stateVectorResult)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 266,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 187.706x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 266,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Place the qubit in a superposition state by adding a Hadamard (H)gate\n",
    "qc.h(0)\n",
    "#Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 267,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 267,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Execute the circuit again and plot the result in the Bloch sphere\n",
    "result = execute(qc, backend).result()\n",
    "#Get the state vector results of the circuit\n",
    "stateVectorResult = result.get_statevector(qc)\n",
    "\n",
    "#Display the Bloch sphere\n",
    "plot_bloch_multivector(stateVectorResult)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 268,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 268,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Reset the circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Rotate the qubit from 0 to 1 using the X (NOT) gate\n",
    "qc.x(0)\n",
    "#Add a Hadamard gate\n",
    "qc.h(0)\n",
    "#Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 269,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7efd51c4d5d0>"
      ]
     },
     "execution_count": 269,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Reset the circuit\n",
    "qc = QuantumCircuit(1,1)\n",
    "#Add a Hadamard gate\n",
    "qc.h(0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 270,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 270,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Create a measurement circuit with 1 qubit and 1 bit\n",
    "measurement_circuit = QuantumCircuit(1,1)\n",
    "#Measure function used to map the qubit and bit by their index value on the circuit, respectively\n",
    "measurement_circuit.measure(0,0)\n",
    "#Concatenate the circuits together\n",
    "full_circuit = qc+measurement_circuit\n",
    "#Draw the full circuit\n",
    "full_circuit.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 272,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'0': 518, '1': 482}\n"
     ]
    }
   ],
   "source": [
    "#Execute the circuit again and print the results\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "result = execute(full_circuit, backend, shots=1000).result()\n",
    "counts = result.get_counts(full_circuit)\n",
    "print(counts)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Understanding Entanglement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 273,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 321.232x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 273,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Create a circuit with 2 qubits and 2 classic bits\n",
    "qc = QuantumCircuit(2,2)\n",
    "#Add an H gate to each\n",
    "qc.h(0)\n",
    "qc.h(1)\n",
    "#Measure the qubits to the classical bit\n",
    "qc.measure([0,1],[0,1])\n",
    "#Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 275,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 275,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Execute the circuit again and print the results\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "result = execute(qc, backend, shots=1000).result()\n",
    "counts = result.get_counts(qc)\n",
    "plot_histogram(counts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 276,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.432x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 276,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Create a circuit with 2 qubits and 2 classic bits\n",
    "qc = QuantumCircuit(2,2)\n",
    "#Add an H gate to just the first qubit\n",
    "qc.h(0)\n",
    "#Add the CNOT gate to entangle the two qubits, where the first qubit is the Control, and the second qubit is the Target. \n",
    "qc.cx(0,1)\n",
    "#Measure the qubits to the classical bit\n",
    "qc.measure([0,1],[0,1])\n",
    "#Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 277,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 277,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Execute the circuit again and print the results\n",
    "result = execute(qc, backend, shots=1000).result()\n",
    "counts = result.get_counts(qc)\n",
    "plot_histogram(counts)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quantum Teleportation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 278,
   "metadata": {},
   "outputs": [],
   "source": [
    "q = QuantumRegister(3)\n",
    "c = ClassicalRegister(3)\n",
    "qc = QuantumCircuit(q, c)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 279,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7efd519f6d10>"
      ]
     },
     "execution_count": 279,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.x(0)\n",
    "qc.z(0)\n",
    "qc.barrier()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 280,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7efd51ad6890>"
      ]
     },
     "execution_count": 280,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.h(1)\n",
    "qc.cx(1,2)\n",
    "qc.barrier()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 281,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7efd51988190>"
      ]
     },
     "execution_count": 281,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.cx(0,1)\n",
    "qc.h(0)\n",
    "qc.measure(0,0)\n",
    "qc.measure(1,1)\n",
    "qc.barrier()\n",
    "qc.cx(1,2)\n",
    "qc.barrier()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7efd51980990>"
      ]
     },
     "execution_count": 282,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.z(2)\n",
    "qc.x(2)\n",
    "qc.measure(2,2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 283,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1083.59x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 283,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 284,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 284,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "backend = Aer.get_backend('qasm_simulator')\n",
    "job = execute(qc, backend, shots=1024)\n",
    "job_result = job.result()\n",
    "results = job_result.get_counts(qc)\n",
    "plot_histogram(results) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 285,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>0.20.1</td></tr><tr><td>Terra</td><td>0.15.2</td></tr><tr><td>Aer</td><td>0.6.1</td></tr><tr><td>Ignis</td><td>0.4.0</td></tr><tr><td>Aqua</td><td>0.7.5</td></tr><tr><td>IBM Q Provider</td><td>0.8.0</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.8 | packaged by conda-forge | (default, Jul 31 2020, 02:25:08) \n",
       "[GCC 7.5.0]</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>31.40900421142578</td></tr><tr><td colspan='2'>Fri Sep 11 01:10:36 2020 UTC</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
